242307648000 has 960 divisors, whose sum is σ = 961970929920. Its totient is φ = 58134528000.

The previous prime is 242307647951. The next prime is 242307648001. The reversal of 242307648000 is 846703242.

242307648000 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 0 + 7 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242307648001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1058111886 + ... + 1058112114.

It is an arithmetic number, because the mean of its divisors is an integer number (1002053052).

Almost surely, 2^242307648000 is an apocalyptic number.

242307648000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242307648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480985464960).

242307648000 is an abundant number, since it is smaller than the sum of its proper divisors (719663281920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242307648000 is a wasteful number, since it uses less digits than its factorization.

242307648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 242307648000 in words is "two hundred forty-two billion, three hundred seven million, six hundred forty-eight thousand".